Izhikevich E.M. (EditorinChief)
Scholarpedia
, the free peer reviewed encyclopedia.

Izhikevich E.M. (2007)
Dynamical Systems in Neuroscience:
The Geometry of Excitability and Bursting.
The MIT press
(full version in pdf)

Hoppensteadt F.C. and Izhikevich E.M. (1997)
Weakly Connected Neural Networks.
SpringerVerlag, New York

Articles: 
Izhikevich E. M., Conway J. H., and Seth A. (2015)
Game of Life.
Scholarpedia, 10(6):1816 
Izhikevich E. M. (2010)
Hybrid Spiking Models.
Phil. Trans. R. Soc. A 368:50615070 
Szatmary B. and Izhikevich E. M. (2010)
SpikeTiming Theory of Working Memory.
PLoS Computational Biology, 6(8): e1000879 
Izhikevich E. M. and Hoppensteadt F.C. (2009)
Polychronous Wavefront Computations.
International Journal of Bifurcation and Chaos, 19:17331739 
Izhikevich E. M. and Edelman G. M. (2008)
LargeScale Model of Mammalian Thalamocortical Systems.
PNAS, 105:35933598 
Izhikevich E. M. and Ermentrout G. B. (2008)
Phase model.
Scholarpedia, 3(10):1487

Terman D. H. and Izhikevich E. M. (2008)
State space.
Scholarpedia, 3(3):1924

Izhikevich E.M. (2007)
Solving the Distal Reward Problem through Linkage of STDP and Dopamine Signaling.
Cerebral Cortex, 17:24432452 (10.1093/cercor/bhl152)

Izhikevich E.M. (2007)
Equilibrium.
Scholarpedia, 2(10):2014 
Seth A. K., Izhikevich E., Reeke G.N., and Edelman G.M. (2006)
Theories and measures of consciousness: An extended framework.
PNAS, 10.1073/pnas.0604347103. 
Izhikevich E.M. and FitzHugh R. (2006)
FitzHughNagumo Model.
Scholarpedia, 1:(9)1349 
Izhikevich E.M. and Kuramoto Y. (2006)
Weakly Coupled Oscillators.
Encyclopedia of Mathematical Physics, Elsevier, 5:448 
Izhikevich E.M.(2006)
Bursting.
Scholarpedia, 1(3):1300 
Izhikevich E.M. (2006)
Polychronization: Computation With Spikes.
Neural Computation,18:245282 
Wu N., Enomoto A., Tanaka S., Hsiao C.F., Nykamp D.Q., Izhikevich E., and Chandler S.H. (2005)
Persistent Sodium Currents in Mesencephalic V Neurons Participate in Burst Generation and Control of Membrane Excitability
Journal of Neurophysiology 93:27102722 
Izhikevich E.M. (2004)
Which Model to Use for Cortical Spiking Neurons?
IEEE Transactions on Neural Networks, 15:10631070 (special issue on temporal coding) 
Izhikevich E.M. and Hoppensteadt F.C. (2004)
Classification of Bursting Mappings.
International Journal of Bifurcation and Chaos, 14:38473854 
Izhikevich E.M., Gally J.A., and Edelman, G.M. (2004)
SpikeTiming Dynamics of Neuronal Groups.
Cerebral Cortex, 14:933944 
Izhikevich E.M. (2003)
Simple Model of Spiking Neurons.
IEEE Transactions on Neural Networks, 14:1569 1572 
Izhikevich E.M. and Hoppensteadt F.C. (2003)
Slowly Coupled Oscillators: Phase Dynamics and Synchronization.
SIAM Journal on Applied Mathematics, 63:19351953 
Izhikevich E.M. and Desai N.S. (2003)
Relating STDP to BCM.
Neural Computation 15:1511�1523 
Izhikevich E.M., Desai N.S., Walcott E.C., Hoppensteadt F.C. (2003)
Bursts as a unit of neural information: selective communication via resonance.
Trends in Neuroscience 26:161167 
Izhikevich E.M. (2002)
Resonance and Selective Communication Via Bursts in Neurons Having Subthreshold Oscillations.
BioSystems, 67:95102 
Hoppensteadt F.C. and Izhikevich E.M. (2002)
Canonical Neural Models.
In Arbib MA (Ed) Brain Theory and Neural Networks.
Second
Edition. The MIT press, Cambridge, MA, pages 181186. (Invited
review paper) 
Izhikevich E.M. (2001)
Synchronization of Elliptic Bursters.
SIAM Review, 43:315344
(Featured SIGEST paper selected on the basis of its exceptional interest to the entire SIAM community.) 
Izhikevich E.M. (2001)
ResonateandFire Neurons.
Neural Networks, 14:883894 
Hoppensteadt F.C. and Izhikevich E.M. (2001)
Synchronization of MEMS
Resonators and Mechanical Neurocomputing.
IEEE Transactions On Circuits and Systems
I, 48:133138 
Hoppensteadt F.C. and Izhikevich E.M. (2000)
Synchronization of Laser
Oscillators, Associative Memory, and Optical Neurocomputing.
Physical Review E, 62:40104013 
Hoppensteadt F.C. and Izhikevich E.M. (2000)
Pattern Recognition Via
Synchronization in PhaseLocked Loop Neural Networks.
IEEE Transactions On Neural Networks,
11:734738 
Izhikevich E.M. (2000)
Phase Equations For Relaxation
Oscillators.
SIAM Journal on Applied Mathematics, 60:17891805 
Izhikevich E.M. (2000)
Neural Excitability, Spiking,
and Bursting.
International Journal of Bifurcation and Chaos.
10:11711266.
(Long review/tutorial paper with 126 illustrations.) 
Izhikevich E.M. (2000)
Subcritical Elliptic Bursting
of Bautin Type.
SIAM Journal on Applied Mathematics, 60:503535 
Izhikevich E.M. (1999)
Weakly Connected Quasiperiodic
Oscillators, FM Interactions, and Multiplexing in the Brain.
SIAM Journal on Applied Mathematics, 59:21932223 
Hoppensteadt F.C. and Izhikevich E.M. (1999)
Oscillatory Neurocomputers
With Dynamic Connectivity.
Physical Review Letters 82:29832986 
Izhikevich E.M. (1999)
Class 1 Neural Excitability,
Conventional Synapses, Weakly Connected Networks, and Mathematical Foundations
of PulseCoupled Models.
IEEE Transactions On Neural Networks,10:499507 
Izhikevich E.M. (1999)
Weakly PulseCoupled Oscillators,
FM Interactions, Synchronization, and Oscillatory Associative Memory.
IEEE Transactions On Neural Networks, 10:508526(Review/tutorial
paper) 
Hoppensteadt F.C. and Izhikevich E.M. (1998)
ThalamoCortical Interactions
Modeled by Weakly Connected Oscillators: Could Brain Use FM Radio Principles?
BioSystems, 48:8594 
Izhikevich E.M. (1998)
Phase Models With Explicit
Time Delays.
Physical Review E, 58:905908 
Izhikevich E.M. (1998)
Multiple Cusp Bifurcations.
Neural Networks, 11:495508 
Hoppensteadt F.C. and Izhikevich E.M. (1996)
Synaptic Organizations and
Dynamical Properties of Weakly Connected Neural Oscillators. II. Learning
of Phase Information.
Biological Cybernetics, 75:129135 
Hoppensteadt F.C. and Izhikevich E.M. (1996)
Synaptic Organizations and
Dynamical Properties of Weakly Connected Neural Oscillators: I. Analysis
of Canonical Model
Biological Cybernetics, 75:117127 
Izhikevich E.M. and Malinetskii G.G. (1993)
A Neural Network With
Chaotic Behavior.
Neurocomputers (in Russian) 
Izhikevich E.M. and MalinetskiiG.G. (1992)
A Possible Role of Chaos in Neurosystems,
Dokl. Akad. Nauk SSSR, 326:626632 (translated
in Sov. Phys. Docl. (1993) 37(10) October 1992:492495) 
Izhikevich E.M., Mikhailov A.S., and Sveshnikov
N.A. (1991)
Memory, Learning and Neuromediators..
BioSystems, 25:219230 
Animated
Talks: 
Phase Dynamics and Synchronization of Relaxation Oscillators
Sixth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 2001
(A Powerpoint presentation with MATLAB
animations) 
The Neuron as a Nonlinear Resonator
Workshop "The Neuron as a Nonlinear Oscillator", Salk Institute, La
Jolla, CA, August, 2000
(A Powerpoint presentation with MATLAB
animations) 
Synchronization of Bursters
SIAM Pacific Rim Dynamical Systems Conference, Hawaii, August, 2000
(A Powerpoint presentation with MATLAB
animations) 

Patents: 
Hoppensteadt F.C. and Izhikevich E.M.
PLL Oscillatory Neurocomputer.
Provisional Patent Application, USPTO. 
Hoppensteadt F.C. and Izhikevich E.M.
Mechanical Computation With MEMS Resonators.
Provisional Patent Application, USPTO, Serial
Number 60/178,654. 
Hoppensteadt F.C. and Izhikevich E.M.
Optical Computation Via Phase Modulation
of Laser Oscillators.
Provisional Patent Application, USPTO. 
Hoppensteadt F.C. and Izhikevich E.M.
Oscillatory Neurocomputers With Dynamic Connectivity.
Provisional Patent Application for Letters Patent
of the United States, Serial No. 60/108,353. 
